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LCM of 502, 812, 341, 882, 705

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 502, 812, 341, 882, 705 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 502, 812, 341, 882, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,812,341,882,705

Given numbers are 502,812,341,882,705

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 502,812,341,882,705 is 1028945901060.

Find LCM of 502,812,341,882,705 with Prime Factorization


2 502, 812, 341, 882, 705
3 251, 406, 341, 441, 705
7 251, 406, 341, 147, 235
251, 58, 341, 21, 235

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 251 x 58 x 341 x 21 x 235 = 1028945901060

Therefore, the lowest common multiple of 502,812,341,882,705 is 1028945901060.

LCM Formula to Find Lowest Common Multiple of 502,812,341,882,705

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

502 x 812 x 341 x 882 x 705 = 86431455689040

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

502 : 1, 2, 251, 502

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

341 : 1, 11, 31, 341

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,812,341,882,705, is 1.

Now, the common factors can be found like this.

502:2x 251

812:2x 2x 7x 29

341:11x 31

882:2x 3x 3x 7x 7

705:3x 5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 7 = 84

Therefore, the value for common factors is 84.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 86431455689040/(1x84)

LCM = 86431455689040/84

LCM = 1028945901060

Thus, we can understand that the LCM of 502,812,341,882,705 is 1028945901060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 812, 341, 882, 705

1. What is the LCM of 502, 812, 341, 882, 705?

Answer: LCM of 502, 812, 341, 882, 705 is 1028945901060.

2. How to calculate the LCM of 502, 812, 341, 882, 705?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 502, 812, 341, 882, 705.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.